If the distance between the points $\left( {a\cos {\rm{\theta }},a\sin {\rm{\theta }}} \right)$ and $\left( {a\cos \phi ,a\sin \phi } \right)$ is $2a$, then ${\rm{\theta }}$ is equal to

$n\pi + \frac{\pi }{2} + \phi ,n \in Z$

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

If the distance between the points

\left( {a\cos \mathrm{\theta },a\sin \mathrm{\theta }} \right)

and

\left( {a\cos \phi ,a\sin \phi } \right)

2a

, then

\mathrm{\theta }

is equal to

View answer and explanation

Correct option: A

2n\pi \pm \pi + \phi ,n \in Z

Option A (

2n\pi \pm \pi + \phi ,n \in Z

) is correct because it represents the general solution for

\theta

derived from the given distance condition between the two points.

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